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Finding the Fourth Proportional to 29,324.30, 43,989.01 and 8,264.50

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Solution

The fourth proportional to 29,324.30, 43,989.01 and 8,264.50 is: 12,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.30 : 43,989.01 = 8,264.50 : x
  2. Step 2: Convert to fraction form
    29,324.30/43,989.01 = 8,264.50/x
  3. Step 3: Cross multiply
    29,324.30x = 43,989.01 × 8,264.50
  4. Step 4: Simplify right side
    29,324.30x = 363,547,042.51
  5. Step 5: Solve for x
    x = 363,547,042.51/29,324.30
  6. Step 6: Final answer
    x = 12,397.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.